GCD of 231, 614, 726, 700 Calculator

Given Input numbers are 231, 614, 726, 700

In the factoring method, we have to find the divisors of all numbers

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

GCD of numbers is the greatest common divisor

So, the GCD (231, 614, 726, 700) = 1.

Given numbers are 231, 614, 726, 700

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 614 are 2 x 307

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 231, 614, 726, 700

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(231, 614) = 141834

GCD(231, 614) = ( 231 x 614 ) / 141834

= 231 / 614

= 231

Step2:

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

= 1 / 726

= 1

Step3:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1

So, Greatest Common Divisor of 231, 614, 726, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 961, 798, 263, 559
• GCD of 716, 542, 652, 152
• GCD of 648, 511, 697, 119
• GCD of 357, 955, 822, 400
• GCD of 892, 829, 102, 101

Given numbers are 231, 614, 726, 700
The greatest common divisor of numbers 231, 614, 726, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 614, 726, 700 is 1.

1. What is the GCD of 231, 614, 726, 700?

GCD of given numbers 231, 614, 726, 700 is 1

2. How to calculate the greatest common divisor of 231, 614, 726, 700?

We can find the highest common divisor of 231, 614, 726, 700 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 231, 614, 726, 700 i.e 1.

3. How can I use the GCD of 231, 614, 726, 700Calculator?

Out the numbers 231, 614, 726, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.